What is the Least Common Multiple of 89489 and 89505?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 89489 and 89505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89489 and 89505, than apply into the LCM equation.

GCF(89489,89505) = 1
LCM(89489,89505) = ( 89489 × 89505) / 1
LCM(89489,89505) = 8009712945 / 1
LCM(89489,89505) = 8009712945

Least Common Multiple (LCM) of 89489 and 89505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89489 and 89505. First we will calculate the prime factors of 89489 and 89505.

Prime Factorization of 89489

Prime Factorization of 89505

Now multiplying the highest exponent prime factors to calculate the LCM of 89489 and 89505.

LCM(89489,89505) = 109¹ × 821¹ × 3⁴ × 5¹ × 13¹ × 17¹
LCM(89489,89505) = 8009712945